Phenomenological Poincaré invariant quantum mechanical models can provide an efficient description of the dynamics of strongly interacting particles that is frame independent and consistent with spectral and scattering observables. These models are representation dependent and in order to apply them to reactions with electromagnetic probes it is necessary to use a consistent electromagnetic current operator. The purpose of this work is to use local gauge invariance to construct consistent strong current operators. Current operators are constructed from a model Hamiltonian by replacing momentum operators in the Weyl representation by gauge covariant derivatives. The construction provides a systematic method to construct expressions for current operators that are consistent with relativistic models of strong interaction dynamics.

现象学庞加莱不变量子力学模型可以有效地描述强相互作用粒子的动力学，该模型独立于框架并与光谱和散射可观测值一致。这些模型与表示相关，为了将它们应用于电磁探针的反应，有必要使用一致的电磁电流算子。这项工作的目的是利用局部规范不变性来构造一致的强电流算子。当前算子是通过用规范协变导数替换 Weyl 表示中的动量算子，从模型哈密顿量构造的。该构造提供了一种系统方法来构造当前算子的表达式，该表达式与强相互作用动力学的相对论模型一致。